A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3.14 to approximate pi, and express your final answer as a decimal. Enter your answer in the box. ft³

Respuesta :

The answer is 226.08. I just took the test i hope it helps

Answer:

The volume of cone -shaped tent is 226.08 cubic ft.

Step-by-step explanation:

Given : A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.

To find : What is the volume of the tent?

Solution : The formula of volume of cone is

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

where, r is the radius

we have given diameter = 12 =2r

r=6 ft

h is the height h=6 ft

[tex]\pi =3.14[/tex]

Substitute the value in the formula,

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

[tex]V=\frac{1}{3}\times (3.14)\times 6^{2}\times 6[/tex]

[tex]V=\frac{1}{3}\times 3.14\times 36\times 6[/tex]

[tex]V=226.08 ft^3[/tex]

Therefore, The volume of cone is 226.08 cubic ft.